NORMAL ELASTIC-PLASTIC IMPACT IN PLANE-STRAIN

A quasi-static theory of local two-dimensional elastic-plastic indenta tion is used to calculate energy dissipation during transverse impact between hard cylindrical bodies with parallel axes. Finite-element cal culations are used to verify compliance relations derived analytically for both loading and unloading; these in turn are used to evaluate th e work done during the compression and restitution stages of impact. T he final relative motion between the colliding bodies is dependent on transformation of energies in the impact system. For impact between bo dies which differ significantly in size, there will be energy lost thr ough elastic waves propagating through the colliding bodies and this m ust be accounted for when calculating the final kinetic energy of rela tive motion at separation. For higher speed impacts there is energy lo st to plastic deformation also. The work done in plastically deforming the contact region depends on hysteresis of the compliance of the con tact region during compression and restitution phases of the contact p eriod. (C) 1998 Elsevier Science Ltd. All rights reserved.